Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/269, 7208/471 quickly i.e. 165784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/269, 7208/471 is 165784.
LCM(782/269, 7208/471) = 165784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/269,7208/471
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 782,7208
Least Common Multiple of Numerators i.e. LCM of 782,7208 is 165784.
GCF of Denominators means GCF of 269,471 as per the given fractions.
GCF of 269,471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,7208
2 | 782, 7208 |
17 | 391, 3604 |
23, 212 |
∴ So the LCM of the given numbers is 2 x 17 x 23 x 212 = 165784
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 782,7208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,7208) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(782,7208) x common factors =34 x 1 = 34
LCM(782,7208) = ( 782 × 7208 ) / 34
LCM(782,7208) = 5636656 / 34
LCM(782,7208) = 165784
Lets's calculate GCF of 269,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165784/1
Therefore the LCM of Fractions 782/269,7208/471 is 165784
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 269,471 . The biggest common factor number is the GCF number.
So the greatest common factor 269,471 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 782/269, 7208/471?
Answer: LCM of Numerators as per given numbers 782/269, 7208/471 is
LCM of Numerators i.e. for 782,7208 is 165784
GCF of denominators i.e. for 269,471 is 1.
Thus, LCM of Fractions is 165784.Finally, LCM of Fractions for 782/269, 7208/471 is 165784.